2-Gerbes bound by complexes of gr-stacks, and cohomology

Details 2-Gerbes bound by complexes of gr-stacks, and cohomology 2-Gerbes bound by complexes of gr-stacks, and cohomology

2005-12-20

arxiv.org/abs/math/0512453v1

Journal of Pure and Applied Algebra 212 (2008), 994-1038.

Mathematics

Category Theory

70 pages, latex+amsmath+xypic

Scientific paper

10.1016/j.jpaa.2007.07.020

We define 2-gerbes bound by complexes of braided group-like stacks. We prove
a classification result in terms of hypercohomology groups with values in
abelian crossed squares and cones of morphisms of complexes of length 3. We
give an application to the geometric construction of certain elements in
Hermitian Deligne cohomology groups.

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